112896000 has 432 divisors, whose sum is σ = 473365620. Its totient is φ = 25804800.

The previous prime is 112895999. The next prime is 112896023. The reversal of 112896000 is 698211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 36578304 = 8736^2 + 6048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16127997 + ... + 16128003.

Almost surely, 2^112896000 is an apocalyptic number.

112896000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236682810).

112896000 is an abundant number, since it is smaller than the sum of its proper divisors (360469620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112896000 is an equidigital number, since it uses as much as digits as its factorization.

112896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 112896000 is about 10625.2529381658. The cubic root of 112896000 is about 483.3104494384.

The spelling of 112896000 in words is "one hundred twelve million, eight hundred ninety-six thousand".